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%I #12 Feb 12 2014 21:21:37
%S 1,3,62,5052,1087104,487424520,393702654960,519740602925040,
%T 1046019551260199040,3046052768591313895680,
%U 12322848899623787148556800,67036205966744406283600262400,477463744343745629221074425625600,4354451197836949908463868034925593600
%N a(n) = n!*A144416(n).
%C Number of placing of at least n objects but no more than 3*n distinct objects in n distinct boxes with the condition that in each box there is at least 1 object but no more than 3. - _Adi Dani_, May 04 2011
%H David Applegate and N. J. A. Sloane, <a href="/A144422/b144422.txt">Table of n, a(n) for n = 0..100</a>
%K nonn
%O 0,2
%A _David Applegate_ and _N. J. A. Sloane_, Dec 08 2008, corrected Jan 14 2009